The Validity of Dimensional Regularization Method on Fractal Spacetime

Yong Tao

Journal of Applied Mathematics, 2013, vol. 2013, 1-9

Abstract:

Svozil developed a regularization method for quantum field theory on fractal spacetime (1987). Such a method can be applied to the low-order perturbative renormalization of quantum electrodynamics but will depend on a conjectural integral formula on non-integer-dimensional topological spaces. The main purpose of this paper is to construct a fractal measure so as to guarantee the validity of the conjectural integral formula.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:308691

DOI: 10.1155/2013/308691

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